Aptitude | Algebra | Question 7
If x1/3 + y1/3 – z1/3 = 0 then value of (x + y – z)3 + 27xyz is
x1/3 + y1/3 = z1/3
Now cubing both sides we get
x + 3x1/3y1/3(x1/3 + y1/3) + y = z
or, (x + y - z) = -3x1/3y1/3z1/3
Cubing again both sides, (x + y - z) = -27xyz.
So answer is zero
Quiz of this Question
Whether you're preparing for your first job interview or aiming to upskill in this ever-evolving tech landscape, GeeksforGeeks Courses
are your key to success. We provide top-quality content at affordable prices, all geared towards accelerating your growth in a time-bound manner. Join the millions we've already empowered, and we're here to do the same for you. Don't miss out - check it out now!